Torch Discharge Active Resistance Determination Considering Its Equivalent Inductance

Numerical calculations of torch discharge (TD) resistance (Rd) without accounting the inductance show that calculations accuracy decreases if a) the TD diameter decreases; b) the TD length increases; c) value of Rd is small (less 1 k Ω); d) “measured” frequencies approach f0,1. It results in a necessity to introduce an equivalent inductance into the Neiman’ scheme. It is shown that the resonant frequency fr of discharge circuit is proportional approximately to fmaxthat is the upper limit of the frequency range where the circuit theory remains suitable for the TD modeling. Thus, the definition of fr and fmaxallows to make the function a more precise. (The function a is the voltage ratio at those the TD holds its electrical and geometrical characteristics).